{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.cm as cm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "texture_1 = plt.imread('../data/texture1.jpg').astype(np.float32)\n",
    "h, w, c = texture_1.shape\n",
    "block_size = 75\n",
    "assert block_size < min(h, w)\n",
    "y_max, x_max = h - block_size, w - block_size\n",
    "dh = h * 2\n",
    "dw = w * 2\n",
    "nx_blocks = ny_blocks = max(dh, dw) // block_size\n",
    "w_new = h_new = nx_blocks * block_size\n",
    "n_blocks = nx_blocks * ny_blocks\n",
    "xs = np.arange(x_max)\n",
    "ys = np.arange(y_max)\n",
    "all_blocks = [texture_1[y:y + block_size, x:x + block_size] for x in xs for y in ys]\n",
    "n_rc = int(block_size / 6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# normalize_img normalizes our output to be between 0 and 1\n",
    "def normalize_img(im):\n",
    "    img = im.copy()\n",
    "    img += np.abs(np.min(img))\n",
    "    img /= np.max(img)\n",
    "    return img"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "patch_1 = all_blocks[0]\n",
    "patch_2 = all_blocks[1743]\n",
    "patch_3 = all_blocks[7286]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(2, 2)\n",
    "ax[0,0].axis('off')\n",
    "\n",
    "ax[1,0].imshow(normalize_img(patch_1))\n",
    "ax[1,0].axvline(x=block_size - n_rc, color='red')\n",
    "ax[1,0].axis('off')\n",
    "ax[1,0].set_title('Patch 1')\n",
    "\n",
    "ax[0,1].imshow(normalize_img(patch_2))\n",
    "ax[0,1].axhline(y=block_size - n_rc, color='red')\n",
    "ax[0,1].axis('off')\n",
    "ax[0,1].set_title('Patch 2')\n",
    "\n",
    "ax[1,1].imshow(normalize_img(patch_3))\n",
    "ax[1,1].axvline(x=n_rc, color='red')\n",
    "ax[1,1].axhline(y=n_rc, color='red')\n",
    "ax[1,1].axis('off')\n",
    "ax[1,1].set_title('Patch 3')\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "b1 = patch_1[:, -n_rc:]\n",
    "b2 = patch_2[-n_rc:, :]\n",
    "b3 = patch_3[:, :n_rc]\n",
    "b4 = patch_3[:n_rc, :]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 2)\n",
    "\n",
    "ax[0].imshow(normalize_img(b1))\n",
    "ax[0].axis('off')\n",
    "ax[0].set_title('B1')\n",
    "\n",
    "ax[1].imshow(normalize_img(b3))\n",
    "ax[1].axis('off')\n",
    "ax[1].set_title('B3')\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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e06s1F5zM1jzXHvefyn0Plvz6FU8htG4e0FhxyDdueYfnaeea7qCxJebl/IzP0aNPP6Ox4ZSv1+yMPwsALAf8npVLLlRojXi+LC54u97rPIcah3pe1cb8fEkSLkwRjUcwFh/n4RPuWPFcFCIBQKvHz9r0Ft/LAfwcatX4WVBv8kRfLHVx01IUVEAUY3wV/gZlZmZRcoAyM7MoOUCZmVmUHKDMzCxKDlBmZhalK63i2+1y1cfFAVfKDIe6Kiaf8LbNR6LFiViPZDUf0VhFra+yIWYHUbBSzLk9yvyC25v0H3Hl2v337tNYOeIKNQCoB66EWl4X7WeaXA5UJrzdWrVWudRr2pz3ucqn/5Q/z7jP5V+5aIXSbHGFW29HVy/u7HE1UbfHr+/2uDqpJfbTam9YM0gUEaYVccHFJEgSni+JKMuqLnRbmHXO8yVfi/WXVEslUTG6Ei20xDT/4phqfI4SUb64dcDzsnKdxzrXRRuqXX0vY82fu93g+6kEV/v1xXpx5Yb1oIZ93vaTe49oLJSibZla+0m0bqptWM+su8fzIBXrYxUrLtm7POdqzP4Fb5eLVmQAkFX42jYy3raaiHklFqNaL3lM3d9f/IOYl6Kl11fhb1BmZhYlBygzM4uSA5SZmUXJAcrMzKJ0pUUSB20uVBjs8iFMZtx2BADyhVij5xG3E1mJ9aBy0ZNGFURkog0QAGQpJ49TsdbSaswJwtFjPp76J5c0Nkh1y5/BAb9nfVes7bItWpSIdW7mfb4Oo1MufACAu+8f09jDP+N1uZ4/5JYyqxknRrtbfB4Pjzpy3wfXeXznkM/Rzg5fs7pYU6nZEi1YAFSrXAgSRPIYYk2xVBREqLF6Xf8tOJ9wq5qFWL9JrfO0XnNyfjDhYpeZaCsEAJlorVXb5nO+9zq31WrfOaKxzm0ey7b1/YScjynL92lsX6zhddE7o7HhU91K6vSj+zR29zG3fpos+JyvRKHBpOB51ejo9aC6t8X9WOU5uJpzQcT5U34+jC75GNtbolccgJpYdyoTBRpVsa6cKn5YiHWnikLfT0XBz6vFTFSufQX+BmVmZlFygDIzsyg5QJmZWZQcoMzMLEqhLDf8zNzMzOwV8jcoMzOLkgOUmZlFyQHKzMyi5ABlZmZRcoAyM7MoOUCZmVmUHKDMzCxKDlBmZhYlBygzM4uSA5SZmUXJAcrMzKLkAGVmZlFygDIzsyg5QJmZWZQcoMzMLEoOUGZmFiUHKDMzi5IDlJmZRckByszMouQAZWZmUXKAMjOzKDlAmZlZlBygzMwsSg5QZmYWJQcoMzOLkgOUmZlFyQHKzMyi5ABlZmZRcoAyM7MoOUCZmVmUHKDMzCxKDlBmZhYlBygzM4uSA5SZmUXJAcrMzKLkAGVmZlFygDIzsyg5QJmZWZQcoMzMLEoOUGZmFiUHKDMzi5IDlJmZRckByszMouQAZWZmUXKAMjOzKDlAmZlZlBygzMwsSg5QZmYWJQcoMzOLkgOUmZlFyQHKzMyi5ABlZmZRcoAyM7MoOUCZmVmUHKDMzCxKDlBmZhYlByizlyCEcD+EMAshjEMI/RDC74UQbv3MNlkI4aMQwuNXdZxmMXOAMnt5frUsyzaAIwCnAH74M//+AwDPrvyozH5OOECZvWRlWc4B/A6Ad/58LITwJoB/DOA3X9VxmcXOAcrsJQshNAH8BoA//KnhHwL4NwBmr+SgzH4OVF71AZj9AvvdEMIaQBtf/Ke8XwGAEMLfB1Apy/I/hxD+xis8PrOo+RuU2cvz62VZdgHUAHwfwO+HEG4A+C0A//KVHpnZzwEHKLOXrCzLvCzLHwHIAfxDAG8A+J8hhBMAPwJwFEI4CSG88coO0ixCDlBmL1n4wt8D0APw3wHcAvDtL//3z/FFhd+3ATx6ZQdpFiHnoMxenv8aQsgBlAAeAPinZVn+6U9vEEK4AFCUZXnyKg7QLGahLMtXfQxmZmbE/4nPzMyi5ABlZmZRcoAyM7MoOUCZmVmUrrSK77Vf/hpVZFTSgrZr1VL5+u12RmOdVpvGmqFFY2XO77le8D7Wo6nc96OLpzT2bDGhsbOci062b71OY+9+710ae/s7h3Lfb32Lx9+4M6ex65ULGruJz/l4lndpLA264868ukdjZzigsZNlk8Y+n3yTxsbLKo3dvy8uBID3/+A+jX32R5/QWDHm63Dz9jUau/X1G3I/1SM+v2mFr2NIeGy95GNfTnhs+Gwg931yn4v3nh1z/9jhTy75GFd872DE17GxoQ6q2azT2HjFrx+KGyXb5vtu9y0xT//iHbnvr32Xx7/+S3zN2i2e09fbfC52y1O5n93amsaG6ZLG5lM+F5Mlz/P+iufQ3af8XAKA9358TGPv/48Paezk/Qc0NhbPlu7NLo1943vfkPs+fIfPZe+NHo3t7G/RWJ7nNNbM+DMup/q+LaaBxqZP+Tr8h1/7t7zhz/A3KDMzi5IDlJmZRckByszMouQAZWZmUbrSIolHJ5z8TQInehuZzup2WzUa2211aKyT8VhacBIUOcfnbMUJQgBYzTghmK95W3XkIXAusJJw0YYaA4CqSCUmohijFIn9FfgYF1jRWJpzEhMAFoETysuCt80XfB0rhfj7Z81j5VJf7+WC91OAT0a9zUUxh7eOaOzOt74m91OIRHFdFBAk4uPkSz6X+ZyPe3mpi1AO9jmZffyQV4C/v+QindXlkMaGa07ML8a68Key4nO5WvE8X4siicpSFB1NuXAnn/D8AYDlXMwrPpWYi+KmGfg5MEFD7qcR+FoswAn/kfhbfboUYwueq6MBf24AOD/p87bnI95wJp6BbS5C2d7dobHD167LfR/d4YKV3mv8XGz3+LwVa74QzTpvNx7z/AOAcsLnrSqeQ1+Fv0GZmVmUHKDMzCxKDlBmZhYlBygzM4vSlRZJvP3X/xKNjfr8S/Hh6XP5+rPBmMbGl/z6TpUT0p2ME+m1hJOlRaYLFWbiVF2KY09a/J7bVU4Ir6fcQWA64i4LADCbcTeHUc6/NO+AE8IlONmfZvyL9BQ6kR7AydoU3DWiUeVCg9Vom8bGx3wNp6e6QOPpAz6/6PKv4Tt3OHnc/uVbvJ9berrv7Z7x4JqPqSoKepo1Pr810clkNtTXNm3y58n2eQ4OFmLsAXdUWIuEfZLrzz2c8n22tS3uCdH9QxU0LMZcTHH2RJxbAPV7PDdqOzyHrr3N56ds79LYoHVT7uexKPI5XZzzvis8h5Iq73txwedi/JALUwDg5D1ef/LZZ5/SWCPla9u+zZ/n4F1+Dux/i+caANx5m+flQYvnS2Utuspk/CxIUy6oOUn25b4XqkNJUxeSvIi/QZmZWZQcoMzMLEoOUGZmFiUHKDMzi9KVFknc/ja32J9ccqLt/AknUAFgcMwJ1/kz/jXzZCDa6ff5F9yJyM13d7goAADyFW9cSTm+q04HhXjtbMaFHJOZ/tX9dM4Z6fGQf9E+Kfl4hqLooxQdHtK1TuIvE54io8DbDkVXgmTKx5iKXOmFWF4CAFZi6ZNKnROwvaboJLHLCeVORy+LcL0iOmskPFYLXATQrPK1DaKjx6DQ+x72eNu66Hqyd4MLA8Kcizb6W/yL//WEC1MAYFXw63OxhEchuqsE8ei4OOZ7bF3qR0zoiO4de3zfN3e5IKcllt1ZJBs6wIg/wRsZFz+sp3yfXBxzkc7pJ/wZ73/ExRAAcHbG87rW4PNx/ZCfgTtvcoeIO7d4uzs7el69kXER1R64SKKe8NwowDfpUsyVecb3GADMCj6X46Z+rr6Iv0GZmVmUHKDMzCxKDlBmZhYlBygzM4uSA5SZmUXpSqv43vrLb9LYbMzVbBdPdQuN48+5PdDpR9xmpP85t3AZjrmCJR9x1Vw9E4svAUDJ45momlurapcJV6MNRFXhYMOaQeMxV4q1Z1y5Nq7xOjnDCr92VfDnDqXedxG44mlYckXZcM37Xl6oakquEDq9/0Tuu5Hy9Gxvi3Y4h3w81/ZF65q2rvTaL/kc1cHnYzvhOdQSFYBl4MqzpzU+bgAYdrhibwKugjp4ja/DUtw72Ta/3+pct+8qRIudJIhznnGlWJLwZ3w+EGslnejKVNS53VB9m6v4Ors81mqIz9jVa4oV4to2t/nYp33e7uk9ruL77L2HNPbgw3ty35cXXMXXbfL5PbrJ8/fGW9zq6O3bPKe/vsfPGwC4FfhZubfiKuhWypWpS7Gq3XDB986swmuuAcA44Yq9MzGHvgp/gzIzsyg5QJmZWZQcoMzMLEoOUGZmFqUrLZK49hrHw+WaE2rtfU5iAkC1w4UBaZW3LUWrGIgk/iJwO5DViosXAKBS4VNVEcnE1UK0Nbrkdkw4FetGibZNADDsc6I5HfPnrrV5LEs4EV4pRWK1opPZQayJM1ryNesvuYikf8rn8skxF7A8evJU7vvoxtdobP/WIY21d/hzFzXRske0LwKApOAilkbgY+/ilMZ2cn5tmfJcywvdFqafcoJ8VuN5PjrkIovGsZjnDdF+a9NdXuG50WrxvpviHmvUOzRWE0Utlyu+xwBg8YwLPE4/FUUFu7x2WS3j/bR29YcsEy4CaJxzwn8x5Ply8ZDvx/NHXNwxes7FMwAQRIuzZo9bUXV2+DpuH/E9tnPA86rb0m2smgUXSbTWPNZNuG3ZQhTKLHNRqLWhvdSs4Pssn+tWai/ib1BmZhYlBygzM4uSA5SZmUXJAcrMzKJ0pUUSN3YHNDYvOGnYEmvaAECacYeJUqyzk8/Fx5pzQniU8C/FizOddBQ/7keaiHWVlpyUXY95bHrGSfjhiU4o95/yMU16vO+sxectaXIyO6ScEC6hiyQqJb9+KM7lswEnvftP+fx+8hmvnfPgmJO3AHBw8zaNVZucbJ3O+Vz2B/yr+UZ1w5pXNU4AFyUnequBxxrga5aI7gW9kosPAOAgiH1X+fz297hI4qzL75m1OJEOUVQAAEnG56MmujR0ROFEt8XHkyRi35c6kX4y5bkxeMxFEk8+EF0sxHXYvcHzFADSOhfvBFEcVYhbr/+Aix+mYs2rZKw/Y0d0T9gR62D1RGeL+hZfm6TO+1mn+r5d5VzAtRadQwpxjEXgOZCLIokAUaQDYCnWgZv0daeaF/E3KDMzi5IDlJmZRckByszMouQAZWZmUbra5Tba/MvssUgoP69tiJslJxhXU/6l+eyMl3QYn3KBxnTExQfzc92+vprwqcpE8jkVicN1wZ9nPuJE7+BJX+776afcwaDX5fec9Ljrw2KHf5Feir9LyoSvAwCkORdejKd87BfPOXn8+C4nve9+yssVlANdmDIdcJK6nPCSA8s+Z7jzPn/Gxja/FgBSUTuRiusdUj4XBfi8leq2SvVyAzWxREqrwtt2q7zsxNYWn5+syccY6jqZjRofZ1LjooKqqFmqtfj8bkF0aNCrYGAqupmMJ/x8OLvH8wViaZjppe7UsbXNBR6JKG7Kx3ygfdHZYvKI79F0pZ8Z3W0u3Djo8D3a6/C1bYsuNVjxtZkv9bWdioKyccrFGGkQnSTE/J1W+DNeTnVhyjPx/H1+rLttvIi/QZmZWZQcoMzMLEoOUGZmFiUHKDMzi9KVFkncAScYnwVOeK43hM1pkxPK0z1OEvavcWK03hNJ6pb4xXOuf5ldT/j1LZF8ropf4heipf35nPczfMqFHADwqMLdF9Dk10/qfH5m9SMaKxuc2M9T/Wv4SiGO8zEf5/nHvGTG8cePaWx6zK/tNXXxQodzrdgv+NfwbfF31uGatzsQS4IAQGspukaIbg7rGlcLDMW0WgY+nrNEJ7PPMt7PEHyc6YLHklJ1SRAdCMSyGgBkkUS1zWPNbTHWEcvPcA0Tal0u0gGAmsiZn5zz8+FywvPl2V1e4mQx1kvVbPU4kV8RRSgQ3Q8GD3lpjeU577vX1MsD7YolSTp1Ph9Zwddsa8TdZwI3R8FY3PMAUO3wfR9Svu9Hay5+WOQ8Ni34+XDvTN9Pn9zji3v3E34WfBX+BmVmZlFygDIzsyg5QJmZWZQcoMzMLEpXWiTRBSc8JytOOlZXOqlbD5yFbYkEZWubE9L1LU4mVhq8n9WaE+YAsAYnDqs1TrZuZ5xIL0XierTgpO7lJZ8LACjAv2jNIZsBAAAELklEQVRPAieUexn/vVFP+fMUW+JX6huKJJI1T5HT+89p7MkHd2ns8iEfd2XCido3jl6T+z5qcJL5tbb6JT6f390qz4tt8Ut8AMgGIiFd5/O2bPN8mTf4/IyqfB1ON/wp+CzwvBqJ5SSWIy4mmk/5uJdLLmpRnUMAIKmJ5TbafO+0xLIenZ7oWCGeJmUhKicAdEf8nmmV5+X8Id8T/Qt+jqyWoqIGwGLMr1dFEpUVH/zikjuUVFZ8jFtirgFAq86fsVLyfpbiOjYv+dqI+iBMGxuKJFJx3iuqOwWft/mS55rqCPLgmX5W3n3I1RyP7z+R276Iv0GZmVmUHKDMzCxKDlBmZhYlBygzM4uSA5SZmUXpSqv4KkNugVEVLVz2NlSmzIoLHkt42+4WV+lUW1zVUtu5RWP1w4/lvktRbVUXlUw3D67zfkqujGpmfC5azzasizTkEprTC64CrH3IlTLzKZf+bHd5DS21Rg4ATEZcLfjkIe/nsajcyX/CVXzbe7zvNN+waFCVz/nZ8JjG2j2+tlVRmdcKel41Mj6mYsEVSufiMMfiFroUaz+NN+wbS379tqhi/SzjnecFV2A1Zzx2fqLX4mm1ufqs0+V1lQ7e5O3aDd7P3j6fx4W4vwGgeSnWZKrwvtdrrvqsPeAq0vm5ruKrnPN90hfruFXF9UnFWNble35R14/RIuXxepXnRrrkCtrZlLdbL3lOzwfcYgwA0mN+fU2sT5VX+TOeBr7eF2J9qj/444/kvi/v87Pg4lPdiupF/A3KzMyi5ABlZmZRcoAyM7MoOUCZmVmUrrRIYrm1S2NlnRPCScbbAUCac5IvBSf0aqKFkaoBWOecWM3nnJgHgKTFycRqVay9UxVr+YjWN+190Yon2dBuaMaJ4umcixfmx6c0djzidi2nqTg/qk8NgKIQ6+T0OeE5O+MClkbJ57IQay/NRro4ZHDG5/yiJYo+RLuhjlqrK+iE/bTKx1SvizWDqqJNjVh3ar4SCe5UrwdVioKKJBdtd0Sro2LB86Uq1qLKxLpPgP6MDbHm2vb2No3tdvlc7u7za+cLfT9VMp7TqsvYYsatm4JYr2j4jOc5ACzFumvJlO/7dcnHs1pzUcI68DnLEv0Zp6LQYTwS81K0KMue8zFO8hFv19bPjNWCny+rmbjvm/z6R1M+lx8+5cKoE1EEBQBTUey1Em2jvgp/gzIzsyg5QJmZWZQcoMzMLEoOUGZmFqVQlht+xW9mZvYK+RuUmZlFyQHKzMyi5ABlZmZRcoAyM7MoOUCZmVmUHKDMzCxKDlBmZhYlBygzM4uSA5SZmUXJAcrMzKLkAGVmZlFygDIzsyg5QJmZWZQcoMzMLEoOUGZmFiUHKDMzi5IDlJmZRckByszMouQAZWZmUXKAMjOzKDlAmZlZlBygzMwsSg5QZmYWpf8L3C+ZloAZKfEAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(2, 1)\n",
    "\n",
    "ax[0].imshow(normalize_img(b2))\n",
    "ax[0].axis('off')\n",
    "ax[0].set_title('B2')\n",
    "\n",
    "ax[1].imshow(normalize_img(b4))\n",
    "ax[1].axis('off')\n",
    "ax[1].set_title('B4')\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "# compute sum of squared deviations:\n",
    "error_surf_vert = np.sum((b1 - b3) ** 2, axis=2)\n",
    "error_surf_hor = np.sum((b2 - b4) ** 2, axis=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.title('Vertical Error Surface')\n",
    "plt.imshow(normalize_img(error_surf_vert))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.title('Horizontal Error Surface')\n",
    "plt.imshow(normalize_img(error_surf_hor))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "# compute min paths\n",
    "top_min_path = np.zeros((block_size), dtype=np.int)\n",
    "left_min_path = np.zeros((block_size), dtype=np.int)\n",
    "\n",
    "top_min_path[0] = np.argmin(error_surf_vert[0, :], axis=0)\n",
    "left_min_path[0] = np.argmin(error_surf_hor[:, 0], axis=0)\n",
    "for i in range(1, block_size):\n",
    "    err_mid_v = error_surf_vert[i, :]\n",
    "    err_mid_h = error_surf_hor[:, i]\n",
    "    mid_v = err_mid_v[top_min_path[i - 1]]\n",
    "    mid_h = err_mid_h[left_min_path[i - 1]]\n",
    "    \n",
    "    err_left = np.roll(error_surf_vert[i, :], 1, axis=0)\n",
    "    err_top = np.roll(error_surf_hor[:, i], 1, axis=0)\n",
    "    err_left[0] = err_top[0] = np.inf\n",
    "    left = err_left[top_min_path[i - 1]]\n",
    "    top = err_top[left_min_path[i - 1]]\n",
    "    \n",
    "    err_right = np.roll(error_surf_vert[i, :], -1, axis=0)\n",
    "    err_bot = np.roll(error_surf_hor[:, i], -1, axis=0)\n",
    "    err_right[-1] = err_bot[-1] = np.inf\n",
    "    right = err_right[top_min_path[i - 1]]\n",
    "    bot = err_bot[left_min_path[i - 1]]\n",
    "    \n",
    "    next_poss_pts_v = np.vstack((left, mid_v, right))\n",
    "    next_poss_pts_h = np.vstack((top, mid_h, bot))\n",
    "    \n",
    "    new_pts_ind_v = top_min_path[i - 1] + (np.argmin(next_poss_pts_v, axis=0) - 1)\n",
    "    new_pts_ind_h = left_min_path[i - 1] + (np.argmin(next_poss_pts_h, axis=0) - 1)\n",
    "    top_min_path[i] = new_pts_ind_v\n",
    "    left_min_path[i] = new_pts_ind_h"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "vert_err_cut = error_surf_vert.copy()\n",
    "yy, xx = np.meshgrid(np.arange(block_size), np.arange(n_rc))\n",
    "vert_path_mask = xx.T ==  np.tile(np.expand_dims(top_min_path, 1), n_rc)\n",
    "vert_err_cut[vert_path_mask] = np.nan\n",
    "plt.title('Vertical Error Surface Cut')\n",
    "plt.imshow(vert_err_cut)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "hor_err_cut = error_surf_hor.copy()\n",
    "yy, xx = np.meshgrid(np.arange(block_size), np.arange(n_rc))\n",
    "hor_path_mask = (xx.T ==  np.tile(np.expand_dims(left_min_path, 1), n_rc)).T\n",
    "hor_err_cut[hor_path_mask] = np.nan\n",
    "plt.title('Horizontal Error Surface Cut')\n",
    "plt.imshow(hor_err_cut)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "hor_overlap = error_surf_hor[:, :n_rc].copy()\n",
    "vert_overlap = error_surf_vert[:n_rc].copy()\n",
    "error_surf_vert[:n_rc, :] += hor_overlap\n",
    "error_surf_hor[:, :n_rc] += vert_overlap"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "vert_err_cut = error_surf_vert.copy()\n",
    "yy, xx = np.meshgrid(np.arange(block_size), np.arange(n_rc))\n",
    "vert_path_mask = xx.T ==  np.tile(np.expand_dims(top_min_path, 1), n_rc)\n",
    "vert_err_cut[vert_path_mask] = np.nan\n",
    "plt.title('Vertical Error Surface Cut')\n",
    "plt.imshow(vert_err_cut)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "hor_err_cut = error_surf_hor.copy()\n",
    "yy, xx = np.meshgrid(np.arange(block_size), np.arange(n_rc))\n",
    "hor_path_mask = (xx.T ==  np.tile(np.expand_dims(left_min_path, 1), n_rc)).T\n",
    "hor_err_cut[hor_path_mask] = np.nan\n",
    "plt.title('Horizontal Error Surface Cut')\n",
    "plt.imshow(hor_err_cut)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x2620c0d9828>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "target = patch_3.copy()\n",
    "target[:, :n_rc] = np.expand_dims(vert_err_cut, axis=2)\n",
    "target[:n_rc, :] = np.expand_dims(hor_err_cut, axis=2)\n",
    "\n",
    "nanmask = np.isnan(target)\n",
    "target[nanmask] = 1\n",
    "nimg = normalize_img(target)\n",
    "nimg = np.where(nanmask, [1, 0, 0], nimg)\n",
    "plt.imshow(nimg)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "target = patch_3.copy()\n",
    "hor_mask = (xx.T <= np.tile(np.expand_dims(left_min_path, 1), n_rc)).T\n",
    "vert_mask = xx.T <=  np.tile(np.expand_dims(top_min_path, 1), n_rc)\n",
    "target[:, :n_rc][vert_mask] = b1[vert_mask]\n",
    "target[:n_rc, :][hor_mask] = b2[hor_mask]\n",
    "\n",
    "plt.title('Min Cut')\n",
    "plt.imshow(normalize_img(target))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "def min_cut_block(block_size, overlap_size, top_right_patch, bot_left_patch, bot_right_patch):\n",
    "    osz = overlap_size\n",
    "    \n",
    "    b1 = bot_left_patch[:, -osz:]\n",
    "    b2 = top_right_patch[-osz:, :]\n",
    "    b3 = bot_right_patch[:, :osz]\n",
    "    b4 = bot_right_patch[:osz, :]\n",
    "    \n",
    "    # compute sum of squared deviations:\n",
    "    error_surf_vert = np.sum((b1 - b3) ** 2, axis=2)\n",
    "    error_surf_hor = np.sum((b2 - b4) ** 2, axis=2)\n",
    "    \n",
    "    # compute vertical and horizontal min error paths\n",
    "    top_min_path = np.zeros((block_size), dtype=np.int)\n",
    "    left_min_path = np.zeros((block_size), dtype=np.int)\n",
    "\n",
    "    top_min_path[0] = np.argmin(error_surf_vert[0, :], axis=0)\n",
    "    left_min_path[0] = np.argmin(error_surf_hor[:, 0], axis=0)\n",
    "    \n",
    "    for i in range(1, block_size):\n",
    "        err_mid_v = error_surf_vert[i, :]\n",
    "        err_mid_h = error_surf_hor[:, i]\n",
    "        mid_v = err_mid_v[top_min_path[i - 1]]\n",
    "        mid_h = err_mid_h[left_min_path[i - 1]]\n",
    "\n",
    "        err_left = np.roll(error_surf_vert[i, :], 1, axis=0)\n",
    "        err_top = np.roll(error_surf_hor[:, i], 1, axis=0)\n",
    "        err_left[0] = err_top[0] = np.inf\n",
    "        left = err_left[top_min_path[i - 1]]\n",
    "        top = err_top[left_min_path[i - 1]]\n",
    "\n",
    "        err_right = np.roll(error_surf_vert[i, :], -1, axis=0)\n",
    "        err_bot = np.roll(error_surf_hor[:, i], -1, axis=0)\n",
    "        err_right[-1] = err_bot[-1] = np.inf\n",
    "        right = err_right[top_min_path[i - 1]]\n",
    "        bot = err_bot[left_min_path[i - 1]]\n",
    "\n",
    "        next_poss_pts_v = np.vstack((left, mid_v, right))\n",
    "        next_poss_pts_h = np.vstack((top, mid_h, bot))\n",
    "\n",
    "        new_pts_ind_v = top_min_path[i - 1] + (np.argmin(next_poss_pts_v, axis=0) - 1)\n",
    "        new_pts_ind_h = left_min_path[i - 1] + (np.argmin(next_poss_pts_h, axis=0) - 1)\n",
    "        top_min_path[i] = new_pts_ind_v\n",
    "        left_min_path[i] = new_pts_ind_h\n",
    "        \n",
    "    yy, xx = np.meshgrid(np.arange(block_size), np.arange(osz))\n",
    "    target = bot_right_patch.copy()\n",
    "    hor_mask = (xx.T <= np.tile(np.expand_dims(left_min_path, 1), osz)).T\n",
    "    vert_mask = xx.T <=  np.tile(np.expand_dims(top_min_path, 1), osz)\n",
    "    target[:, :osz][vert_mask] = b1[vert_mask]\n",
    "    target[:osz, :][hor_mask] = b2[hor_mask]\n",
    "    \n",
    "    return target"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x2620c0a58d0>"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(normalize_img(min_cut_block(block_size, n_rc, patch_2, patch_1, patch_3)))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
